B-to-Glueball form factor and Glueball production in B decays

Abstract

We investigate transition form factors of B meson decays into a scalar glueball in the light-cone formalism. Compared with form factors of B to ordinary scalar mesons, the B-to-glueball form factors have the same power in the expansion of 1/mB. Taking into account the leading twist light-cone distribution amplitude, we find that they are numerically smaller than those form factors of B to ordinary scalar mesons. Semileptonic B Gl, B Gl+l- and Bs Gl+l- decays are subsequently investigated. We also analyze the production rates of scalar mesons in semileptonic B decays in the presence of mixing between scalar qq and glueball states. The glueball production in Bc meson decays is also investigated and the LHCb experiment may discover this channel. The sizable branching fraction in Bc (π+π-)l-, Bc (K+K-)l- or Bc (π+π-π+π-)l- could be a clear signal for a scalar glueball state.